Probability Seminar: Ryokichi Tanaka
Topic
Dimension of harmonic measures in hyperbolic spaces
Speakers
Details
We discuss random walks on groups acting on hyperbolic spaces (e.g. the Poincaré disk), and their limiting behaviour on the boundary. The limiting distribution of the random walk (the harmonic measure) is of particular interest for description of bounded harmonic functions on the group (the Poisson boundary). We consider the Hausdorff dimension of harmonic measure on the boundary and give a formula in terms of the entropy and the drift under a general moment condition. Related recent results are also discussed during the talk.
Additional Information
Location: ESB 2012
Ryokichi Tanaka, University of Washington and Tohoku University
Ryokichi Tanaka, University of Washington and Tohoku University
This is a Past Event
Event Type
Scientific, Seminar
Date
September 21, 2016
Time
-
Location